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- Title
Stabilization of the Khovanov Homotopy Type of Torus Links.
- Authors
Willis, Michael
- Abstract
The structure of the Khovanov homology of (n,m) torus links has been studied extensively. In particular, Marko Stošic proved that the homology groups stabilize asm→∞. We show that the Khovanov homotopy types of (n,m) torus links, as constructed by Robert Lipshitz and Sucharit Sarkar, also become stably homotopy equivalent as m → ∞. We provide an explicit bound on values of m beyond which the stabilization begins. As an application, we give new examples of torus links with non-trivial Sq2 action.
- Subjects
HOMOTOPY theory; TOPOLOGY; MATHEMATICAL equivalence; MATHEMATICS; EQUATIONS
- Publication
IMRN: International Mathematics Research Notices, 2017, Vol 2017, Issue 11, p3350
- ISSN
1073-7928
- Publication type
Article
- DOI
10.1093/imrn/rnw127